Answer:
Step-by-step explanation:
3.5x-10>-3 add 10 to both sides
3.5x>13 divide both sides by 3.5
x>26/7
x=(26/7, +oo)
...
8x-9<39 add 9 to both sides
8x<48 divide both sides by 8
x<6
x=(-oo,6)
Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.
x=(26/7, 6)
It's C. When you're dividing g(x) by f(x), you get the equations in both B. and C., but C is more correct because you can't have x=-1/3 because the function is undefined at that number (you can't have the denominator equal 0)
Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute

This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour